What is the Greatest Common Factor of 20013 and 20028?

Greatest common factor (GCF) of 20013 and 20028 is 3.

GCF(20013,20028) = 3

We will now calculate the prime factors of 20013 and 20028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20013 and 20028.

How to find the GCF of 20013 and 20028?

We will first find the prime factorization of 20013 and 20028. After we will calculate the factors of 20013 and 20028 and find the biggest common factor number .

Step-1: Prime Factorization of 20013

Prime factors of 20013 are 3, 7, 953. Prime factorization of 20013 in exponential form is:

20013 = 3¹ × 7¹ × 953¹

Step-2: Prime Factorization of 20028

Prime factors of 20028 are 2, 3, 1669. Prime factorization of 20028 in exponential form is:

20028 = 2² × 3¹ × 1669¹

Step-3: Factors of 20013

List of positive integer factors of 20013 that divides 20013 without a remainder.

1, 3, 7, 21, 953, 2859, 6671

Step-4: Factors of 20028

List of positive integer factors of 20028 that divides 20013 without a remainder.

1, 2, 3, 4, 6, 12, 1669, 3338, 5007, 6676, 10014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20013 and 20028. The biggest common factor number is the GCF number.
So the greatest common factor 20013 and 20028 is 3.

Also check out the Least Common Multiple of 20013 and 20028